I teach AP Calculus to students who, last year, did well in a rather limited Algebra II course* and who have not had pre-calculus. When faced with a question like (2007 AB FRQ4):
A particle moves along the x-axis with position at time t given by for . Find the time t at which the particle is farthest from the left,
they get hung up on things like:
- Is like ?
- If the particle is on the -axis, then is on the -axis?
They know how to differentiate the function and how to find a minimum, they just don’t know that this is what they need to do.
* The Algebra II course I am teaching this year is similarly limited – more on that another time.
PS A thousand blessings on whoever decided to put into wordpress.
PPS Anyone know how I can get the inline formulas more inline?